SOLUTION: Flip a fair coin 10 times. Find the probability of getting the following outcome. (Round your answer to three decimal places.) at most 2 heads

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Question 355048: Flip a fair coin 10 times. Find the probability of getting the following outcome. (Round your answer to three decimal places.)
at most 2 heads
Answer by sudhanshu_kmr(1152) (Show Source):
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probability of getting head= 1/2
probability of getting tail = 1/2

Using binomial probability

Probability of getting the 0 heads =10C0 * (1/2)^0 * (1/2)^10 = (1/2)^10

Probability of getting the 1 heads =10C1 * (1/2)^1 * (1/2)^9 = 10 *(1/2)^10

Probability of getting the 2 heads =10C2 * (1/2)^2 * (1/2)^8 = 45 * (1/2)^10

now,
probability of getting at most 2 heads = 56 * (1/2)^10
(after adding above 3 value)

ans = 7/128

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